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Dynamic programming approach for solving the open shop problem

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  • Ansis Ozolins

    (University of Latvia)

Abstract

This paper deals with the open shop scheduling problem (OSP) with makespan minimization. An exact dynamic programming algorithm is proposed for solving the OSP to optimality. This approach is applied to the OSP for the first time. Computational results show that the proposed algorithm is able to solve moderate benchmark instances.

Suggested Citation

  • Ansis Ozolins, 2021. "Dynamic programming approach for solving the open shop problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 29(1), pages 291-306, March.
    • Handle: RePEc:spr:cejnor:v:29:y:2021:i:1:d:10.1007_s10100-019-00630-3
    DOI: 10.1007/s10100-019-00630-3
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    References listed on IDEAS

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    1. Gueret, Christelle & Jussien, Narendra & Prins, Christian, 2000. "Using intelligent backtracking to improve branch-and-bound methods: An application to Open-Shop problems," European Journal of Operational Research, Elsevier, vol. 127(2), pages 344-354, December.
    2. Ansis Ozolins, 2019. "Improved bounded dynamic programming algorithm for solving the blocking flow shop problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 27(1), pages 15-38, March.
    3. Arnaud Malapert & Hadrien Cambazard & Christelle Guéret & Narendra Jussien & André Langevin & Louis-Martin Rousseau, 2012. "An Optimal Constraint Programming Approach to the Open-Shop Problem," INFORMS Journal on Computing, INFORMS, vol. 24(2), pages 228-244, May.
    4. Taillard, E., 1993. "Benchmarks for basic scheduling problems," European Journal of Operational Research, Elsevier, vol. 64(2), pages 278-285, January.
    5. Christian Prins, 2000. "Competitive genetic algorithms for the open-shop scheduling problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 52(3), pages 389-411, December.
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